| 基于二维结构化网格的间断Galerkin方法研究 |
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| 引用本文： | 李喜乐,杨永,张冬云.基于二维结构化网格的间断Galerkin方法研究[J].航空计算技术,2009,39(4):47-50. |
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| 作者姓名： | 李喜乐 杨永 张冬云 |
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| 作者单位： | 西北工业大学,翼型、叶栅空气动力学国防科技重点实验室,陕西,西安,710072 |
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| 摘 要： | 在二维结构化网格上，对求解Euler方程的间断Galerkin方法进行了研究。应用二阶、三阶精度的问断Galerkin方法对绕NACA0012翼型的跨音速无粘流动进行了数值模拟。在整体逼近精度基本保持不变的前提下，采用moment限制器以消除数值解在激波附近的伪振荡。数值结果表明，间断Galerkin方法能够很好地模拟流场，准确捕捉激波；moment限制器成功抑制了激波附近的伪振荡；高阶格式具有比低阶格式更强的激波捕捉能力。
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| 关 键 词： | 间断Galerkin方法 结构化网格 moment限制器 |
Research on Discontinuous Galerkin Method for Two Dimensional Euler Equations on Structured Grids |
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| LI Xi-le,YANG Yong,ZHANG Dong-yun.Research on Discontinuous Galerkin Method for Two Dimensional Euler Equations on Structured Grids[J].Aeronautical Computer Technique,2009,39(4):47-50. |
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| Authors: | LI Xi-le YANG Yong ZHANG Dong-yun |
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| Institution: | LI Xi- le, YANG Yong, ZHANG Dong- yun(National Key Laboratory of Aerodynamic Design and Research, Northwestern Polytechnical University,Xi＇an 710072, China) |
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| Abstract: | Based on the ideas of Discontinuous Galerkin method proposed by Cockburn and Shu, a two- dimensional Discontinuous Galerkin method is implemented on structured grids. The DGM with second order and third order accuracy are applied to simulate transonic inviscid flow over a NACA -0012 airfoil. The moment limiter is applied to suppress the spurious oscillation near the discontinuous solution, meanwhile, the accuracy order being remained essentially. Numerical results show that the DG method has excellent ability to capture shocks, the moment limiter suppress spurious oscillation successfully, and the higher order scheme is more accurate in capturing shocks than the lower order scheme. |
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| Keywords: | discontinuous galerkin method structured grids moment limiter |
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